关于Hermite矩阵的任意扰动

给出了如下的Ｈｅｒｍｉｔｅ矩阵特征值的可计算的扰动界,设Ｈｅｒｍｉｔｅ矩阵Ａ的特征值为ａ１,ａ２,．．．．,ａｎ矩阵Ｂ的特征值为λ１,λ２,．．．,λｎ则存在的（１,２,．．．．,ｎ）的一个排列π使得对１≤ｊ≤ｎ均有│ａｊ－λπ（ｊ）│≤∥Ａ－１／２（Ｂ＋Ｂ＾Ｈ）∥２＋∥１／２（Ｂ－Ｂ＾Ｈ）∥Ｆ并且还存在（１,２．．．．,ｎ）的一个排列π′使得√ｎ∑ｊ＝１│ａｊ－λπ′（ｊ）│＾２≤∥Ａ－１／２（     

一种提高捷联惯性/里程计组合导航系统定位精度的后处理方法

测绘用捷联惯性/里程计组合导航系统多采用离线后处理技术.此类系统利用里程计位移微分获得的速度作为观测量,采用速度匹配,并通过待测路径中预置的Mark点校正航位推算的位置信息.本文建立了基于速度匹配的16维Kalman滤波模型,对全程采样数据进行正反向导航和滤波处理,以估计惯性器件和里程计的误差;在补偿相关误差后,再次进...     

基于变形力数据的结构件残余应力场重构方法

残余应力是引起零件加工变形和失效的重要因素,残余应力场的重构有助于消除和控制零件在设计、制造、评价和使用过程中的残余应力。针对已有方法难以准确重构残余应力场的问题,提出了一种通过零件加工过程中的变形力数据实现零件残余应力场重构的方法。该方法首先提取了由于材料去除引起的应力重新分布带来的装夹力变化数据,即变形力。残余应力到变形力之间通过协方差矩阵自适应进化策略(CMA-ES算法)反复迭代求解出映射关系,从而构建出零件的残余应力场,最后在仿真环境下对该方法进行了验证。验证结果表明:该方法能较好地预测残余应力场,重构出的零件的初始残余应力场与原始施加的应力场平均误差值约0.38 MPa,为零件残余应力场的重构提供了一种新思路。     

The impact of error covariance matrix structure of GRACE’s gravity solution on the mass flux estimates of Greenland ice sheet

The error variance-covariance matrices of the monthly GRACE gravity field models are usually well-structured (e.g., order-leading) to contain the error information of the monthly gravity field models, and they are important information to further improve the accuracy of the estimated mass transportation by a post-processing scheme. Intensive studies have been performed to understand the impact of different approximations of the full error variance-covariance matrix on the mass estimates obtained with the conventional GRACE-post processing methods (e.g., the de-striping method). In this study, based on the variants of the mascon approach which treat monthly GRACE solutions as input, we consider four different structures to the error variance-covariance matrix, (i) full matrix, (ii) block diagonal matrix, (iii) diagonal matrix, and (iv) identity matrix, and examine their impact on the mass transport estimates in Greenland. Using both synthetic and real data, we analyze the results at four temporal scales: (i) the long-term decadal scale, (ii) the inter-annual scale, (iii) the seasonal scale, and (iv) the monthly scale. Based on the synthetic study, we find that for the recovery of the long-term trend, the application of the diagonal structure obtains the best estimates. This is caused by the amplification of the model error in the mascon approach when considering the full and block diagonal structures of error variance-covariance matrix, not due to any imperfection of them. Therefore, we emphasize that one should be aware of mascon model deficiency in the mascon approach. Furthermore, the best inter-annual, seasonal and monthly mass estimates are derived by considering the block diagonal and full structures. This is caused by the behavior of the bias and the unique parameterization error in the case of different structures. A similar finding is also presented in the real data case. Finally, our analysis denotes the necessity of releasing the block diagonal structure together with the official monthly gravity field model for the GRACE Follow-On mission, instead of releasing only the diagonal structure as done for the GRACE mission.     

基于浸入与不变理论的航天器姿态跟踪自适应控制

针对惯性参数不确定的航天器姿态跟踪控制问题，基于浸入与不变（I&I）方法设计出了一种新的姿态跟踪控制器。研究结果表明，传统的浸入与不变方法运用到姿态跟踪模型，存在参数回归矩阵不可积进而导致偏微分方程无解析解的问题。针对该问题，提出了一种对回归矩阵改造使其满足可积条件的方法，通过动态放缩技术消除了回归矩阵改造前后的差异对闭环系统稳定性的影响，设计出了一种新的航天器姿态跟踪自适应控制器。通过李雅普诺夫稳定性分析方法证明了所设计的控制器能够保证闭环系统的全局渐近稳定性。相对于已有的基于动态放缩法的浸入与不变控制器，设计了一种全新的缩放因子，使得控制器的执行不需要缩放因子的信息，并且也不需要惯量矩阵的先验信息。最后，仿真对比实验进一步验证了所设计控制器的有效性和优越性。     

纤维/树脂浸润测试仪的研制与应用

针对复合材料成型工艺的特点,依据毛细原理,研制了浸润性能测试仪.该测试仪包括浸润质量测试系统与温度控制系统,能够定量测试在较宽的温度范围内发生浸润的速率和浸润程度.对该测试仪的准确性与稳定性进行了校准与标定,并运用该仪器研究了纤维种类、树脂粘度和纤维体积含量对树脂/纤维浸润性能的影响规律.研究结果表明该设备为研究各类复合材料中增强材料与基体间的浸润性能提供了方便的测试手段,对指导复合材料制备工艺具有较高的参考价值.     

An LMI-based decoupling control for electromagnetic formation flight

Electromagnetic formation flight(EMFF) leverages electromagnetic force to control the relative position of satellites. EMFF offers a promising alternative to traditional propellant-based spacecraft flight formation. This novel strategy is very attractive since it does not consume fuel. Due to the highly coupled nonlinearity of electromagnetic force, it is difficult to individually design a controller for one satellite without considering others, which poses challenges to communications.This paper is devoted to decoupling control of EMFF, including regulations, constraints and controller design. A learning-based adaptive sliding mode decoupling controller is analyzed to illustrate the problem of existing results, and input rate saturation is introduced to guarantee the validity of frequency division technique. Through transformation, the imposed input rate saturation is converted to state and input constraints. A linear matrix inequalities(LMI)-based robust optimal control method can then be used and improved to solve the transformed problem. Simulation results are presented to demonstrate the effectiveness of the proposed decoupling control.     

基于模糊聚类非负矩阵分解的软件缺陷预测

为了进一步提高对不平衡软件缺陷数据的预测精度,提出了一种基于模糊聚类非负矩阵分解的缺陷预测方法。该方法首先选取最近邻算法作为不平衡缺陷数据预测的基分类器,然后将非负矩阵分解算法引入软件缺陷预测领域,并提出利用模糊聚类初始化非负矩阵分解算法的思路。该方法一方面解决了最近邻算法处理多属性缺陷数据时计算量大导致性能降低的问题,另一方面克服了非负矩阵分解的随机初始化导致结果陷入局部最优的不足,提高了不平衡软件缺陷数据的预测精度。最后通过两组算例验证了方法的有效性。     

基于矩阵运算的直升机旋翼/机体耦合动力学模型

针对直升机旋翼/机体耦合动力学建模中,小角度线性简化带来的计算精度下降以及适用范围缩小等问题,在计算桨叶速度及加速度时,基于矩阵运算,保留了运动的非线性。对不同机体运动幅值和频率情况下的小角度线性简化对桨叶速度的影响进行了仿真分析,结果发现,随着机体运动幅值的增加,线性简化影响越来越大,滚转幅值 15°时,简化带来的误差超过 5%;俯仰幅值 15°时,简化带来的误差超过 6%,且随着机体运动频率的减小,误差越来越大。对不同桨距的情况进行仿真,结果表明,所建模型可以很好地模拟直升机的动态响应,采用该模型可进行直升机旋翼/机体耦合动态响应仿真分析。     

基于多信号模型的光电雷达系统测试性设计分析与评价

主要介绍了一种针对复杂光电系统测试性设计分析与评价的方法。通过研究系统功能原理特点．根据多信号模型基本思想,建立了测试性分析与评价模型,分析和简化系统相关矩阵后．得出系统故障检测率和隔离率,进而评估系统的诊断能力。